Greatest Common Factor of 3390/87, 7032/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3390/87, 7032/470

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3390/87,7032/470

Given fractions are 3390/87,7032/470

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3390,7032

Greatest Common Factor of Numerators i.e. GCF of 3390,7032 is 6 .

LCM of Denominators means LCM of 87,470 as per the given fractions.

LCM of 87,470 is 40890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3390,7032

GCF of Fractions 3390/87,7032/470 is 6/40890

2 3390, 7032
3 1695, 3516
565, 1172

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3390,7032 By Matching Biggest Common Factor Method

Greatest Common Factor of 3390,7032 By Matching Biggest Common Factor Method

Factors of 3390

List of positive integer factors of 3390 that divides 3390 without a remainder.

1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390

Factors of 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032

Greatest Common Factor

We found the factors 3390,7032 . The biggest common factor number is the GCF number.
So the greatest common factor 3390,7032 is 6.

Lets's calculate LCM of 87,470

Given numbers has no common factors except 1. So, there LCM is their product i.e 40890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/40890

Therefore, the GCF of Fractions 3390/87,7032/470 is 6/40890

Least Common Multiple of 87,470 with GCF Formula

Least Common Multiple of 87,470 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 87,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,470) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,470) x common factors =1 x 1 = 1

LCM(87,470) = ( 87 × 470 ) / 1

LCM(87,470) = 40890 / 1

LCM(87,470) = 40890


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3390/87, 7032/470

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3390/87, 7032/470?

Answer: GCF of Numerators as per given numbers 3390/87, 7032/470 is

GCF of Numerators i.e. for 3390,7032 is 6

LCM of denominators i.e. for 87,470 is 40890.

Thus, GCF of Fractions is 6/40890.Finally, GCF of Fractions for 3390/87, 7032/470 is 6/40890.